We study the fractal properties of the distances between consecutive primes. The distance sequence is found to be well described by a non-stationary exponential probability distribution. We propose an intensity-expansion method to treat this non-stationarity and we find that the statistics underlying the distance between consecutive primes is Gaussian and that, by transforming the distance sequence into a stationary one, the range of Gaussian randomness of the sequence increases.
An intensity-expansion method to treat non-stationary time series: an application to the distance between prime numbers / Scafetta, Nicola; Imholt, T.; Roberts, J. A.; West, B. J.. - In: CHAOS, SOLITONS AND FRACTALS. - ISSN 0960-0779. - 20:(2004), pp. 119-125. [10.1016/S0960-0779(03)00434-X]
An intensity-expansion method to treat non-stationary time series: an application to the distance between prime numbers
SCAFETTA, NICOLA;
2004
Abstract
We study the fractal properties of the distances between consecutive primes. The distance sequence is found to be well described by a non-stationary exponential probability distribution. We propose an intensity-expansion method to treat this non-stationarity and we find that the statistics underlying the distance between consecutive primes is Gaussian and that, by transforming the distance sequence into a stationary one, the range of Gaussian randomness of the sequence increases.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
